Find the LCM of 447, 713, 278, 682, 539 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 447, 713, 278, 682, 539. So, keep reading to learn more.
Given numbers are 447,713,278,682,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,713,278,682,539 is 47756293662.
Find LCM of 447,713,278,682,539 with Prime Factorization
2 | 447, 713, 278, 682, 539 |
11 | 447, 713, 139, 341, 539 |
31 | 447, 713, 139, 31, 49 |
447, 23, 139, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 447 x 23 x 139 x 1 x 49 = 47756293662
Therefore, the lowest common multiple of 447,713,278,682,539 is 47756293662.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
447 x 713 x 278 x 682 x 539 = 32569792277484
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
447 : 1, 3, 149, 447
713 : 1, 23, 31, 713
278 : 1, 2, 139, 278
682 : 1, 2, 11, 22, 31, 62, 341, 682
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,713,278,682,539, is 1.
Now, the common factors can be found like this.
447:3x 149
713:23x 31
278:2x 139
682:2x 11x 31
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 31 = 682
Therefore, the value for common factors is 682.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 32569792277484/(1x682)
LCM = 32569792277484/682
LCM = 47756293662
Thus, we can understand that the LCM of 447,713,278,682,539 is 47756293662.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 713, 278, 682, 539?
Answer: LCM of 447, 713, 278, 682, 539 is 47756293662.
2. How to calculate the LCM of 447, 713, 278, 682, 539?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 447, 713, 278, 682, 539.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.